Question

A triangle has angle measurements of 54°, 85°, and 41°. What kind of triangle is it?

a. acute
b. right
c. obtuse​

Answer 1

The triangle with angles of 54°, 85°, and 41° is an acute triangle because all angles are less than 90 degrees.

Step-by-step explanation:

To determine the type of triangle based on its angle measurements, we can use the information that the sum of the angles in any triangle is 180 degrees. Given the angles of 54°, 85°, and 41°, we can quickly check that they add up to 180° (54 + 85 + 41 = 180), confirming that this is indeed a triangle.

Now, to classify the triangle:

• An acute triangle has all angles less than 90°.
• A right triangle has exactly one angle of 90°.
• An obtuse triangle has exactly one angle more than 90°.

Since all the given angles are less than 90°, this triangle is an acute triangle.